# Talk:Convergent Series of Natural Numbers

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This result admits a generalisation to any semigroup endowed with the discrete topology. — Lord_Farin (talk) 13:00, 27 February 2013 (UTC)

- The underlying principle is that a net that converges relative to the discrete topology is eventually constant. This is just a formulation in terms of series. Since sequences (and hence series) are relatively unimportant in general topological spaces, I would guess without knowing that the way to generalize from here would be to integrals. May I ask what inspired this result? --Dfeuer (talk) 19:11, 27 February 2013 (UTC)

- It was a necessity for Counting Measure is Measure. — Lord_Farin (talk) 20:16, 27 February 2013 (UTC)